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Finding the Third Proportional to 8,427.38 and 12,139.03

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Solution

The third proportional to 8,427.38 and 12,139.03 is: 17,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.38 : 12,139.03 = 12,139.03 : x
  2. Step 2: Convert to fraction form
    8,427.38/12,139.03 = 12,139.03/x
  3. Step 3: Cross multiply
    8,427.38x = 12,139.03 × 12,139.03
  4. Step 4: Simplify right side
    8,427.38x = 147,356,079.69
  5. Step 5: Solve for x
    x = 147,356,079.69/8,427.38
  6. Step 6: Final answer
    x = 17,485.41

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.